What are the uses and notations for Complex Numbers in polar form?

[Paulo2014]

What is the difference between Complex Numbers in polar form as opposed to rectangular form?

 

[VeeEight]

The complex number can be represented in polar coordinates using it's norm and argument. Thus it takes different notation and can be used in different forms (ie trig form, exponential form) to use for various applications such as finding roots or using it for engineering purposes.